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3 years ago

Which of these numbers is between 1 and 5/6?

Mathematics

2 answers:

Alexus [3.1K]3 years ago

7 0

Answer:

11/6

Step-by-step explanation:

6*2=12

11-6=5

As a fraction, 6 does not go into 11 2times. Only once. 1 5/6

olganol [36]3 years ago

5 0

Answer:

6/7

Step-by-step explanation:

11/6 is equal to 1.83 (rounded off) which is more than 1.

4/5 is equal to 0.8 while 5/6 is equal to 0.83 (also rounded off)

4/7 is equal to 0.57 (rounded off once again) and is lesser than 5/6

As 6/7 is equal to 0.86 (rounded off), we can safely say that it is between 1 and 5/6 even if we didn't eliminate the other fractions.

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Answer: 0.17 ± 0.096

Step-by-step explanation:

Confidence interval for difference between the population proportion :

$p_1-p_2\pm z^*\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}$

, where $p_1$ = sample proportion for population 1.

$p_2$ = sample proportion for population 2.

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$p_1=0.65\ \ \& \ \ p_2=0.48$

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Now , the 99% confidence interval estimate for the difference between the percentages of men and women who prefer Coca Cola over Pepsi :

$(0.65-0.48)\pm (2.576)\sqrt{\dfrac{(0.65)(1-0.65)}{300}+\dfrac{(0.48)(1-0.48)}{400}}\\\\= 0.17\pm(2.576)\sqrt{0.0007583+0.000624}\\\\=0.17\pm(2.576)\sqrt{0.0013823}\\\\=0.17\pm(2.576)(0.03718)\\\\=0.17\pm0.09577568\\\\\approx0.17\pm0.096$ \

Hence, the correct answer is 0.17 ± 0.096.

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